Answer:
28.3
Step-by-step explanation:
Find the inverse of the function. Show work.
g(x)= - 3/x-2 +2
Answer:
[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]
Let's find the inverse of g.
Call y=g(x):
[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
[tex]y(x-2)=-3+2(x-2)[/tex]
Operate:
[tex]yx-2y=-3+2x-4[/tex]
Collect the x's to the left side and the rest to the right side of the equation:
[tex]yx-2x=-3-4+2y[/tex]
Factor the left side and operate on the right side:
[tex]x(y-2)=-7+2y[/tex]
Solve for x:
[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]
Interchange variables:
[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]
Call y as the inverse function:
[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]
Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.
describe and correct the error in the solution. (Be specific and explain as
much as you can. What is the correct solution?) *
5(p+3) > 4p + 2
5p+3 > 4p + 2
5p > 4p - 1
p>-1
Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Q: What is the largest number of slices that Jacque can afford?
Lets answer the information by making it look like a budget subtraction:
60 = Total
1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.
60 - 7.50 = 52.50
2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.
52.50 - 14 = 38.50 Pizza 1
38.50 - 14 = 24.50 Pizza 2
24.50 - 14 = 10.50 Pizza 3
Now, theres not enough to buy another.
So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.
3. Multiply the number of slices by the number of pizzas.
8 x 3 = 24
So, the largest number is 24 slices.
Answer:
60
Step-by-step explanation:
Somebody, please help me. Please show the work too
Answer:
x = 48
Step-by-step explanation:
0.75x - 9 = 27 / + 9
0.75x = 36 / : 0.75
x = 48
Using the diagram below, what is the horizontal distance between the control tower and the plane?
Answer:
x = 664.093 m
Step-by-step explanation:
tan∅ = opposite over adjacent
Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):
Our theta (∅) = 52°
Our opposite = 850 m
Our adjacent = x m
tan52° = 850/x
xtan52° = 850
x = 850/tan52°
x = 664.093 m
who can answer this?????
Answer:
All is the answer
Step-by-step explanation:
Answer:
Its all.
Step-by-step explanation:
Natural numbers mean terminating numbers.
Reduce the fraction to lowest terms. x^3-x^2/x^4
Answer:
x^3-x^2
_______ = x - 1 / x^2 (simplified by x^2)
x^4 ...?
por favor ayúdeme!!
Answer:
CHEEEEEEEEESE
Step-by-step explanation:
For a school art project, Kali has 604 square tiles measuring 1 inch on each side. She plans to use the tiles to completely cover the box in the shape of a rectangular prism shown below. (FORMULA: Surface Area = 2lw + 2lh + 2wh) Which statement about Kali's tiles is true? Group of answer choices Kali needs 476 more tiles to completely cover the box. Kali needs 104 more tiles to completely cover the box. Kali will have 534 tiles left after completely covering the box. Kali will have 250 tiles left after comp
Answer:
Kali needs 104 more tiles to completely cover the box.
Step-by-step explanation:
Length of box = 20 in
Breadth of box = 6 in
Height of box= 9 in
Total surface area of box = 2lw + 2lh + 2wh
Total surface area of box = 2(20)(6) + 2(20)(9) + 2(6)(9)
Total surface area of box = 708 sq. in.
Side of tile = 1 in
Area of 1 tile = [tex]Side^2 = 1^2 = 1 sq. in[/tex]
Area of 604 tiles = 604 sq. in.
Area remain uncovered = 708 - 604 = 104 sq.in.
So, Kali needs 104 more tiles to completely cover the box.
All of the following expressions are equivalent except _____.
x + (-2)
-2 + x
x - 2
2 - x
Determine the correct answer when you round to the nearest hundred. "5,264"
I need an answer as soon as possible, please.
Answer:
5,300
Step-by-step explanation:
5 or more raise the score, 4 or less let it rest.
Answer:
5,300
Step-by-step explanation:
buddy im not sure if this is right but i want you to knwo that no one is perfect and i tried plz and thank you
Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.
Write an equation that represents the given relationship.
Answer:
$8.50hr+ $100=x
Step-by-step explanation:
His $8.50 per hour is given to him plus $100 bonus.
A store sells jump ropes. Each jump rope costs the same ammout. During a sale the store reduces the price of each jump rope by $1.80. gavin spends $14.38 on 2 jump ropes what was the price of the 1 jump rope before the sale
Answer:
pp
Step-by-step explanation:
Answer:
Before the sale each jump rope costed $8.99
Step-by-step explanation:
If you divide $14.38 by two you get $7.19. Then if you add the $1.80 you get $8.99
giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?
Answer:
84.474
Step-by-step explanation:
46.93 x 1.8 = 84.474
Answer:
The giraffe could run 84.474 feet in 1.8 seconds.
Step-by-step explanation:
cross multiply
1x= 84.474
x= 84.474 ft
8,3,9,4,10,5 what are the following numbers and explain the pattern
Answer subtract 5, add 6
Step-by-step explanation:
8-5=3
3+6=9
9-5=4
and so on
Anya's team won 5 out of every 7 games this season
If the team played 28 games this season how many games did they win?
Answer:
19 games won
Step-by-step explanation:
71 percent times 28 equals 19
Help me please !!!!!!!!!!!!
If there are 20 apples in the fridge and 9 on the table, what is the ratio of apples in the fridge to apples on the
table?
kakarot to me
aAA pfpfv
Answer:
yes
Step-by-step explanation:
Solve for x: 3 < x +3 < 6
Answer: 0< x < 3
Step-by-step explanation:
Hope this helps!
what is a rational algebraic expression?
what is the answer ?
Answer:
b. 5i sqaure root 2
Step-by-step explanation:
first bring out the I then take out the five.
How do you solve this equation? x/2 - x = x/4 + 6
Answer:
x= - 8
Step-by-step explanation:
multiply both sides by 4 to get rid of the fractions. you should then get:
2x-4x=x+24
then get all the x terms to one side by subtracting by x on each side:
2x-4x-x=24
then simplify:
-3x=24
divide by -3 on each side:
x= - 8
Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.
Answer:
what's the question
Step-by-step explanation:
If LN=6x-35 and MN=19 and LM=5x-9,find x.
Factorise : (5a-3b)2-1662
pls give step by step
Answer:
6165421
Step-by-step explanation:
whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.
ANSWER FAST ILL GIVE BRAINLIEST
1. is -50.1 rational or irrational
2. is -50/2 rational or irrational
Answer:
both are rational
Step-by-step explanation:
They are both represented as ab or a/b
Mrs. Wells has a swimming pool that is 12 m long and 4 m wide in her backyard.
What is the area of the space that the pool covers in her backyard?
Answer:
48.
Step-by-step explanation:
To find area, you need to multiply. If you multiply 12x4 you get 48, if that makes sense.
Verify the identity.
cot(x - pi/2) = -tan x
Use property...
cot(a+b)=cot a cot b - tan a tan b
a=x b=pi/2
Left side --> cot x+pi/2)=cot x cot (pi/2) - tan x tan (pi/2)
= cot x * 0 - tan x * 1
=0 - tan x
=- tan x
= Right side